You decide to purchase new cameras. The descriptions include viewing angles, but you're not sure which one to buy. You want one camera to be facing the back door, which is 7 feet tall, and to be mounted 12 feet from the ground on a wall 10 feet across from the door. The camera does not need to go higher than anything that's horizontal with the camera, and needs to be able to completely view the door. What angle, theta, allows this to happen? Typically, cheaper cameras have smaller viewing angles. If you mount the camera on a different wall that is 12 feet away from the door, and still 12 feet off the ground, could you buy a cheaper camera?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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You decide to purchase new cameras. The descriptions include viewing angles, but you're not sure which one to buy. You want one camera to be facing the back door, which is 7 feet tall, and to be mounted 12 feet from the ground on a wall 10 feet across from the door. The camera does not need to go higher than anything that's horizontal with the camera, and needs to be able to completely view the door.

  1. What angle, theta, allows this to happen?
  2. Typically, cheaper cameras have smaller viewing angles. If you mount the camera on a different wall that is 12 feet away from the door, and still 12 feet off the ground, could you buy a cheaper camera?
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